120558880 has 96 divisors (see below), whose sum is σ = 309582000. Its totient is φ = 44101632.

The previous prime is 120558877. The next prime is 120558931. The reversal of 120558880 is 88855021.

It can be written as a sum of positive squares in 8 ways, for example, as 3139984 + 117418896 = 1772^2 + 10836^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309726 + ... + 310114.

Almost surely, 2^120558880 is an apocalyptic number.

120558880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120558880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154791000).

120558880 is an abundant number, since it is smaller than the sum of its proper divisors (189023120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120558880 is a wasteful number, since it uses less digits than its factorization.

120558880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 37.

The square root of 120558880 is about 10979.9307830241. The cubic root of 120558880 is about 494.0069606236.

The spelling of 120558880 in words is "one hundred twenty million, five hundred fifty-eight thousand, eight hundred eighty".